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Finding the Fourth Proportional to 523.29, 721.36 and 326.46

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Solution

The fourth proportional to 523.29, 721.36 and 326.46 is: 450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 721.36 = 326.46 : x
  2. Step 2: Convert to fraction form
    523.29/721.36 = 326.46/x
  3. Step 3: Cross multiply
    523.29x = 721.36 × 326.46
  4. Step 4: Simplify right side
    523.29x = 235,496.46
  5. Step 5: Solve for x
    x = 235,496.46/523.29
  6. Step 6: Final answer
    x = 450.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.